Atkin-Lehner |
3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75645j |
Isogeny class |
Conductor |
75645 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
206029379030625 = 314 · 54 · 413 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47363,3918642] |
[a1,a2,a3,a4,a6] |
j |
233858751281/4100625 |
j-invariant |
L |
1.1279662478395 |
L(r)(E,1)/r! |
Ω |
0.56398314031217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25215c1 75645k1 |
Quadratic twists by: -3 41 |